Open AccessThe Availability of Systems with Bathtub Hazard Rate Function
Author(s) -
M. Y. Ashkar
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v15i0.7953
Subject(s) - bathtub , hazard , function (biology) , exponential function , mathematics , exponential distribution , computation , markov process , mathematical optimization , computer science , statistics , algorithm , mathematical analysis , chemistry , archaeology , organic chemistry , evolutionary biology , biology , history
In our normal life we can see that the most realistic systems possess useful time governed by hazard rateof bathtub shaped. The hazard rate function, however, plays a vital role in the computation of theavailability function. The repair time, however, could be modeled as any statistical distribution. In thispaper I will investigate the nature of availability function and points of availability of systems with bathtubhazard function and exponential distribution repair time using Markovian method.